Iterative Linear Quadratic Regulator for Quantum Optimal Control
Quantum Physics
2025-06-05 v2
Abstract
Quantum optimal control for gate optimization aims to provide accurate, robust, and fast pulse sequences to achieve gate fidelities on quantum systems below the error correction threshold. Many methods have been developed and successfully applied in simulation and on quantum hardware. In this paper, we establish a connection between the iterative linear quadratic regulator and quantum optimal control by adapting it to gate optimization of quantum systems. We include constraints on the controls and their derivatives to enable smoother pulses. We achieve high-fidelity simulation results for X and cross-resonance gates on one- and two-qubit fixed-frequency transmons simulated with two and three levels.
Cite
@article{arxiv.2504.10938,
title = {Iterative Linear Quadratic Regulator for Quantum Optimal Control},
author = {Dirk Heimann and Felix Wiebe and Tahereh Abad and Elie Mounzer and Tangyou Huang and Frank Kirchner and Shivesh Kumar},
journal= {arXiv preprint arXiv:2504.10938},
year = {2025}
}
Comments
8 pages, 4 figures